11101111100010 has 192 divisors, whose sum is σ = 30239417924352. Its totient is φ = 2822910455808.

The previous prime is 11101111099999. The next prime is 11101111100011. The reversal of 11101111100010 is 1000111110111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11101111099965 and 11101111100001.

It is not an unprimeable number, because it can be changed into a prime (11101111100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33103197 + ... + 33436863.

It is an arithmetic number, because the mean of its divisors is an integer number (157496968356).

Almost surely, 2^{11101111100010} is an apocalyptic number.

11101111100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101111100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119708962176).

11101111100010 is an abundant number, since it is smaller than the sum of its proper divisors (19138306824342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11101111100010 is a wasteful number, since it uses less digits than its factorization.

11101111100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333917 (or 333914 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11101111100010 its reverse (1000111110111), we get a palindrome (12101222210121).

It can be divided in two parts, 11101 and 111100010, that added together give a palindrome (111111111).

The spelling of 11101111100010 in words is "eleven trillion, one hundred one billion, one hundred eleven million, one hundred thousand, ten".